Constructing subdivision rules from alternating links
Geometric Topology
2011-03-18 v1
Abstract
The study of geometric group theory has suggested several theorems related to subdivision tilings that have a natural hyperbolic structure. However, few examples exist. We construct subdivision tilings for the complement of every nonsingular, prime alternating link. These tilings define a combinatorial space at infinity, similar to the space at infinity for word hyperbolic groups.
Keywords
Cite
@article{arxiv.0907.5554,
title = {Constructing subdivision rules from alternating links},
author = {Brian C. Rushton},
journal= {arXiv preprint arXiv:0907.5554},
year = {2011}
}
Comments
12 pages, 13 figures